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Finding the Fourth Proportional to 180,770.09, 249,477.66 and 100,222.88

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Solution

The fourth proportional to 180,770.09, 249,477.66 and 100,222.88 is: 138,315.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,770.09 : 249,477.66 = 100,222.88 : x
  2. Step 2: Convert to fraction form
    180,770.09/249,477.66 = 100,222.88/x
  3. Step 3: Cross multiply
    180,770.09x = 249,477.66 × 100,222.88
  4. Step 4: Simplify right side
    180,770.09x = 25,003,369,580.86
  5. Step 5: Solve for x
    x = 25,003,369,580.86/180,770.09
  6. Step 6: Final answer
    x = 138,315.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.